Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (21.08.2024) Shift-II
60 persons consume 300 kg of wheat in 40 days. In how many days will 25 persons consume 100 kg of wheat?
A28 days
B30 days
C32 days ✓ Correct
D35 days
Correct answer: (C) 32 days — The 25 persons will consume 100 kg in 32 days, so that is the answer.
Explanation
★The 25 persons will consume 100 kg in 32 days, so that is the answer.
★60 persons eat 300 kg in 40 days, so total consumption is 300 kg over 2400 person-days.
★So one person eats 300 divided by 2400, which is one eighth of a kg per day.
★So 25 persons eat 25 times one eighth, which is 25 over 8 kg per day.
★The days needed for 100 kg are 100 divided by 25 over 8.
★That equals 100 times 8 over 25, which is 32 days.
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